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This paper studies the procurement and pricing of inertial response using a frequency-constrained unit commitment formulation, which co-optimizes the provision of energy and inertia services while accounting for their complementary…

Optimization and Control · Mathematics 2020-05-25 Matthieu Paturet , Uros Markovic , Stefanos Delikaraoglou , Evangelos Vrettos , Petros Aristidou , Garbiela Hug

Modular batteries can be aggregated to deliver frequency regulation services for power grids. Although utilizing the idle capacity of battery modules is financially attractive, it remains challenging to consider the heterogeneous…

Systems and Control · Electrical Eng. & Systems 2025-04-07 Yutong He , Guangchun Ruan , Haiwang Zhong

Low levels of system inertia in power grids with significant penetration of non-synchronous Renewable Energy Sources (RES) have increased the risk of frequency instability. The provision of a certain type of ancillary services such as…

Optimization and Control · Mathematics 2021-01-20 Luis Badesa , Fei Teng , Goran Strbac

To ensure adequate and economic reserve for primary frequency response in the current and future power system, this paper proposes real-time frequency response reserve (FRR) requirement based on system inertia. This minimum FRR will help…

Systems and Control · Electrical Eng. & Systems 2021-01-15 Shutang You

The reduced level of system inertia in low-carbon power grids increases the need for alternative frequency services. However, simultaneously optimising the provision of these services in the scheduling process, subject to significant…

Optimization and Control · Mathematics 2021-01-20 Luis Badesa , Fei Teng , Goran Strbac

The need for Enhanced Frequency Response (EFR) is expected to increase significantly in future low-carbon Great Britain (GB) power system. One way to provide EFR is to use power electronic compensators (PECs) for point-of-load voltage…

Systems and Control · Electrical Eng. & Systems 2021-01-20 Jinrui Guo , Luis Badesa , Fei Teng , Balarko Chaudhuri , Shu Yuen Ron Hui , Goran Strbac

In order to decarbonise the electricity sector, the future Great Britain (GB) power system will be largely dominated by non-synchronous renewables. This will cause low levels of inertia, a key parameter that could lead to frequency…

Optimization and Control · Mathematics 2022-08-22 Aimon Mirza Baig , Luis Badesa , Goran Strbac

A reduced level of system inertia due to renewable integration increases the need for cost-effective provision of ancillary services, such as Frequency Response (FR). In this paper we propose a closed-form solution to the differential…

Optimization and Control · Mathematics 2021-01-20 Luis Badesa , Fei Teng , Goran Strbac

The increasing penetration of inverter-based renewable generation has significantly reduced system inertia, making modern power grids more vulnerable to rapid frequency deviations following disturbances. While a wide range of flexible…

Systems and Control · Electrical Eng. & Systems 2025-12-18 Xiaojie Tao , Rajit Gadh

This paper proposes a reinforcement learning-based framework for optimizing the operation of electric arc furnaces (EAFs) under volatile electricity prices. We formulate the deterministic version of the EAF scheduling problem into a…

Systems and Control · Electrical Eng. & Systems 2025-12-11 Ruonan Pi , Zhiyuan Fan , Bolun Xu

To maintain frequency stability in decarbonized power systems, inertia services from synchronous generators (SGs) and inverter-based resources must be procured. However, designing an inertia-aware system operation poses significant…

Systems and Control · Electrical Eng. & Systems 2025-11-19 HyunJoong Kim , Jip Kim

The rapid expansion of data center infrastructure is reshaping power system dynamics by significantly increasing electricity demand while also offering potential for fast and controllable flexibility. To ensure reliable operation under such…

Systems and Control · Electrical Eng. & Systems 2025-10-02 Pengyu Ren , Wei Sun , Yifan Wang , Gareth Harrison

The rapid growth of renewable energy sources has significantly reduced system inertia and increased the need for fast frequency response (FFR) in modern power systems. Data centers, as large and flexible electrical consumers, hold great…

Systems and Control · Electrical Eng. & Systems 2025-12-17 Xiaojie Tao , Rajit Gadh

Low levels of inertia due to increasing renewable penetration bring several challenges, such as the higher need for Primary Frequency Response (PFR). A potential solution to mitigate this problem consists on reducing the largest possible…

Optimization and Control · Mathematics 2020-01-14 Luis Badesa , Fei Teng , Goran Strbac

In this paper, low-order models of the frequency and voltage response of mixed-generation, low-inertia systems are presented. These models are unique in their ability to efficiently and accurately model frequency and voltage dynamics…

Systems and Control · Electrical Eng. & Systems 2025-11-07 Marena Trujillo , Amir Sajadi , Jonathan Shaw , Bri-Mathias Hodge

Power system restoration following blackouts must ensure frequency stability throughout the recovery process. This paper proposes a frequency-constrained mixed-integer linear programming (MILP) framework for black-start restoration planning…

Systems and Control · Electrical Eng. & Systems 2026-05-15 Xiangyu Zou , Amir Reza Nikzad , Ilyas Farhat , John W. Simpson-Porco

The reduced inertia levels in low-carbon power grids necessitate explicit constraints to limit frequency's nadir and rate of change during scheduling. This can result in significant curtailment of renewable energy due to the minimum…

Systems and Control · Electrical Eng. & Systems 2021-11-18 Cormac O'Malley , Luis Badesa , Fei Teng , Goran Strbac

As renewable energy penetration increases and system inertia levels drop, primary frequency control is becoming a critical concern in relatively small interconnections such as the Electric Reliability Council of Texas (ERCOT). To address…

Optimization and Control · Mathematics 2020-07-17 Manuel Garcia , Ross Baldick

In Part I of this paper we have introduced the closed-form conditions for guaranteeing regional frequency stability in a power system. Here we propose a methodology to represent these conditions in the form of linear constraints and…

Optimization and Control · Mathematics 2021-04-15 Luis Badesa , Fei Teng , Goran Strbac

Most renewable energy sources (RES) do not provide any inertial response. Their integration in a power grid implies a highly reduced level of system inertia, which leads to a deteriorated frequency performance. Then, the requirement for…

Systems and Control · Electrical Eng. & Systems 2020-01-14 Luis Badesa , Fei Teng , Goran Strbac
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